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Finding the Third Proportional to 156,777 and 238,851

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Solution

The third proportional to 156,777 and 238,851 is: 363,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,777 : 238,851 = 238,851 : x
  2. Step 2: Convert to fraction form
    156,777/238,851 = 238,851/x
  3. Step 3: Cross multiply
    156,777x = 238,851 × 238,851
  4. Step 4: Simplify right side
    156,777x = 57,049,800,201
  5. Step 5: Solve for x
    x = 57,049,800,201/156,777
  6. Step 6: Final answer
    x = 363,891.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.